Results 41 to 50 of about 299,219 (282)
Characteristic set method for differential–difference polynomial systems
Journal of Symbolic Computation, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, X.S. +3 more
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Trimmed Serendipity Finite Element Differential Forms
, 2018 We introduce the family of trimmed serendipity finite element differential form spaces, defined on cubical meshes in any number of dimensions, for any polynomial degree, and for any form order. The relation between the trimmed serendipity family and the (
Gillette, Andrew, Kloefkorn, Tyler
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Algorithms yield upper bounds in differential algebra
, 2020 Consider an algorithm computing in a differential field with several commuting derivations such that the only operations it performs with the elements of the field are arithmetic operations, differentiation, and zero testing.
Li, Wei +3 more
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Construction of Special Solutions for Nonintegrable Systems
, 2006 The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J +30 more
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Solution of Polynomial Systems Derived from Differential Equations
Computing, 2005 Nonlinear two-point boundary value problems arise in numerous areas of application. The existence and number of solutions for various cases has been studied from a theoretical standpoint. These results generally rely upon growth conditions of the nonlinearity.
Allgower, E. L. +3 more
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Algorithms for integrals of holonomic functions over domains defined by polynomial inequalities
, 2011 We present an algorithm for computing a holonomic system for a definite integral of a holonomic function over a domain defined by polynomial inequalities.
Almkvist +25 more
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On the uniqueness of algebraic limit cycles for quadratic polynomial differential systems with two pairs of equilibrium points at infinity [PDF]
, 2017 Agraïments: The second author is partially supported by FCT/Portugal through UID/MAT/04459/2013.Algebraic limit cycles in quadratic polynomial differential systems started to be studied in 1958, and few years later the following conjecture appeared ...
Llibre, Jaume, Valls, Clàudia
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The Differential Counting Polynomial [PDF]
, 2015 The aim of this paper is a quantitative analysis of the solution set of a system of polynomial nonlinear differential equations, both in the ordinary and partial case.
Lange-Hegermann, Markus
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
wiley +1 more source
Limit Cycles for the Class of D-Dimensional Polynomial Differential Systems
Journal of Applied Mathematics, 2016 We perturb the differential system x˙1=-x2(1+x1), x˙2=x1(1+x1), and x˙k=0 for k=3,…,d inside the class of all polynomial differential systems of degree n in Rd, and we prove that at most nd-1 limit cycles can be obtained for the perturbed system using ...
Zouhair Diab, Amar Makhlouf
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